I was wondering if anyone could help me show the following:
It's an important part of a larger problem I'm working on and I'm a little stuck.
Thanks in advance.
I know it's provable by induction, however I need to derive the right hand side from the left, not just prove it if you see what I mean. Maybe the problem should be rephrased to "find a closed expression (i.e. an expression not involving the summation and product symbols) for the left hand side of that equation".